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Homework 1- Find mathematically the resultant wave of the superposition of two waves that are represented by: y1(x,t) = A sin [kx – ?t] and y2(x,t) = a sin [kx + ?t] 2- Two waves of the same frequency propagate in the same direction and described by the following equations: E1 = 18cos(wt - ?/3), and E2 = 12cos(wt - ?/6). Find the following: the amplitude, the phase, intensity and wave equation of the resultant wave. 3- Two waves have the same frequency and propagate in the same direction. The amplitude of one of them is 3 cm and the second is 5 cm. The phase of the first is p/2 and for the second is p/3. Find the amplitude, phase, intensity, and wave equation of the resultant wave. 4- The following equations describe two wave that propagate in vacuum: y1(x,t) = 3 sin (12.5 x 10^6 x – 3.77 x 10^15 t + ?/2) and y2(x,t) = 2 sin (12.5 x 10^6 x – 3.77 x 10^15 t + ?) where x is measured in meter and time is measured in second. Calculate the following: 1- The wavelength of each wave. 2- The frequency of each wave. 3- The velocity of propagation. 4- The propagation direction of each wave and the resultant wave. 5- The amplitude, the initial phase, and the intensity of the resultant wave.

          Homework
1- Find mathematically the resultant wave of the superposition of two waves that are represented by:
y1(x,t) = A sin [kx – ?t] and y2(x,t) = a sin [kx + ?t]
2- Two waves of the same frequency propagate in the same direction and described by the following equations: E1 = 18cos(wt - ?/3), and E2 = 12cos(wt - ?/6).
Find the following: the amplitude, the phase, intensity and wave equation of the resultant wave.
3- Two waves have the same frequency and propagate in the same direction. The amplitude of one of them is 3 cm and the second is 5 cm. The phase of the first is p/2 and for the second is p/3. Find the amplitude, phase, intensity, and wave equation of the resultant wave.
4- The following equations describe two wave that propagate in vacuum:
y1(x,t) = 3 sin (12.5 x 10^6 x – 3.77 x 10^15 t + ?/2) and y2(x,t) = 2 sin (12.5 x 10^6 x – 3.77 x 10^15 t + ?)
where x is measured in meter and time is measured in second. Calculate the following:
1- The wavelength of each wave. 2- The frequency of each wave.
3- The velocity of propagation. 4- The propagation direction of each wave and the resultant wave. 5- The amplitude, the initial phase, and the intensity of the resultant wave.

Homework
1- Find mathematically the resultant wave of the superposition of two waves that are represented by:
y1(x,t) = A sin [kx – ?t] and y2(x,t) = a sin [kx + ?t]
2- Two waves of the same frequency propagate in the same direction and described by the following equations: E1 = 18cos(wt - ?/3), and E2 = 12cos(wt - ?/6).
Find the following: the amplitude, the phase, intensity and wave equation of the resultant wave.
3- Two waves have the same frequency and propagate in the same direction. The amplitude of one of them is 3 cm and the second is 5 cm. The phase of the first is p/2 and for the second is p/3. Find the amplitude, phase, intensity, and wave equation of the resultant wave.
4- The following equations describe two wave that propagate in vacuum:
y1(x,t) = 3 sin (12.5 x 10^6 x – 3.77 x 10^15 t + ?/2) and y2(x,t) = 2 sin (12.5 x 10^6 x – 3.77 x 10^15 t + ?)
where x is measured in meter and time is measured in second. Calculate the following:
1- The wavelength of each wave. 2- The frequency of each wave.
3- The velocity of propagation. 4- The propagation direction of each wave and the resultant wave. 5- The amplitude, the initial phase, and the intensity of the resultant wave.

Added by Jose Manuel D.

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